🔋Energy Correlation Assurance Functions

Solareums innovative technology guarantees precision in energy correlation, enhancing our blockchains reliability and performance. SolareumChain is very well equipped for a future of seamless renewable-energy blockchain management, driven by our very advanced assurance functions.

Let there be an energy correlation assurance function

$$A : E(t) → {0, 1}$$

which checks at a time

$$t ∈ [t_0, t_{V (t)}]$$

that the energy generation claimed by a validator corresponds to electron flow which was not recycled through an anti-islanding feature of the ongoing flow corresponding to generation. That is, if there were to be a spoofed claim of electricity generation which was in surplus of the energy actually generated, the energy correlation assurance function would then sort the alleged energy validator as rejected if

$$A(E_i(t)) = 0,$$

whereas it would be accepted if

$$A(E_i(t)) = 1,$$

thus acting as a characteristic function at time

$$t ∈ T ,t : [0, V (t)] → {0, 1}$$

which is isomorphic to the energy correlation assurance function A, that is,

where ∼= is an isomorphism in the category of binary output functions, thus allowing for the equivalence condition

$$A(E_i(t)) = χ_{ti} (E(t_i)).$$

All characteristic function applications indexed across all times t ∈ T and validators E(ti) forms a matrix.

Therefore, simplified matrix notation

$$E_{claimed}(t) · χ_t = E_{verified}(t),$$

allowing for the verified Energy generators approved through not being zeroed out by the characteristic function and for spoofed Energy generators to be zero. Non-zero characteristic function outputs

$$E_{verified} \neq 0$$

corresponding to a verified proof of electron flow which is not double counted. Similarly to the double spend problem solved by BTC, the double counted electron problem is solved as a main architectural basis of SolareumChain Proof of Generation.